Search a number
-
+
52790054400 = 2933521031483
BaseRepresentation
bin110001001010100010…
…000100111000000000
312001021000210121202000
4301022202010320000
51331103223220100
640130150024000
73546121026066
oct611242047000
9161230717660
1052790054400
112042a678236
12a293348000
134c93ac70a5
1427ab0c6036
15158e7b7900
hexc4a884e00

52790054400 has 480 divisors, whose sum is σ = 195778302720. Its totient is φ = 13931274240.

The previous prime is 52790054377. The next prime is 52790054407. The reversal of 52790054400 is 445009725.

52790054400 is a `hidden beast` number, since 5 + 27 + 90 + 0 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52790054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35596059 + ... + 35597541.

It is an arithmetic number, because the mean of its divisors is an integer number (407871464).

Almost surely, 252790054400 is an apocalyptic number.

52790054400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52790054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97889151360).

52790054400 is an abundant number, since it is smaller than the sum of its proper divisors (142988248320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52790054400 is a wasteful number, since it uses less digits than its factorization.

52790054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 52790054400 in words is "fifty-two billion, seven hundred ninety million, fifty-four thousand, four hundred".